Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
Question
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Chapter 10, Problem 8QC
To determine

To solve:the given equation by completing the square method.

Expert Solution & Answer
Check Mark

Answer to Problem 8QC

  x=2+103;x=2−103

Explanation of Solution

Given:

The given equationis 3x2−4x=2 .

Calculation:

The given equation is 3x2−4x=2 .

Now, solve the equation by completing the square method, then

  3x2−4x=2⇒3x2−4x3=23⇒x2−4x3=23(x)2−2×x(23)+(23)2=23+(23)2     {add  (23)2on both sides}⇒(x−23)2=23+49=109∴(x−23)=±109=±103∴x=23+103⇒x=2+103x=23−103⇒x=2−103 .

Therefore, the solution for the given equation is x=2+103;x=2−103 .

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Chapter 10, Problem 7QC
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Chapter 10, Problem 9QC

Chapter 10 Solutions

Algebra 2

Ch. 10.1 - Prob. 1ACYPCh. 10.1 - Prob. 1BCYPCh. 10.1 - Prob. 2CYPCh. 10.1 - Prob. 3CYPCh. 10.1 - Prob. 1CYUCh. 10.1 - Prob. 2CYUCh. 10.1 - Prob. 3CYUCh. 10.1 - Prob. 4CYUCh. 10.1 - Prob. 5CYUCh. 10.1 - Prob. 6CYU
Ch. 10.1 - Prob. 7CYUCh. 10.1 - Prob. 8CYUCh. 10.1 - Prob. 9CYUCh. 10.1 - Prob. 10PPSCh. 10.1 - Prob. 11PPSCh. 10.1 - Prob. 12PPSCh. 10.1 - Prob. 13PPSCh. 10.1 - Prob. 14PPSCh. 10.1 - Prob. 15PPSCh. 10.1 - Prob. 16PPSCh. 10.1 - Prob. 17PPSCh. 10.1 - Prob. 18PPSCh. 10.1 - Prob. 19PPSCh. 10.1 - Prob. 20PPSCh. 10.1 - Prob. 21PPSCh. 10.1 - Prob. 22PPSCh. 10.1 - Prob. 23PPSCh. 10.1 - Prob. 24PPSCh. 10.1 - Prob. 25PPSCh. 10.1 - Prob. 26PPSCh. 10.1 - Prob. 27PPSCh. 10.1 - Prob. 28PPSCh. 10.1 - Prob. 29PPSCh. 10.1 - Prob. 30PPSCh. 10.1 - Prob. 31PPSCh. 10.1 - Prob. 32PPSCh. 10.1 - Prob. 33PPSCh. 10.1 - Prob. 34PPSCh. 10.1 - Prob. 35PPSCh. 10.1 - Prob. 36PPSCh. 10.1 - Prob. 37PPSCh. 10.1 - Prob. 38PPSCh. 10.1 - Prob. 39PPSCh. 10.1 - Prob. 40PPSCh. 10.1 - Prob. 41PPSCh. 10.1 - Prob. 42HPCh. 10.1 - Prob. 43HPCh. 10.1 - Prob. 44HPCh. 10.1 - Prob. 45HPCh. 10.1 - Prob. 46HPCh. 10.1 - Prob. 47STPCh. 10.1 - Prob. 48STPCh. 10.1 - Prob. 49STPCh. 10.1 - Prob. 50STPCh. 10.1 - Prob. 51SRCh. 10.1 - Prob. 52SRCh. 10.1 - Prob. 53SRCh. 10.1 - Prob. 54SRCh. 10.1 - Prob. 55SRCh. 10.1 - Prob. 56SRCh. 10.1 - Prob. 57SRCh. 10.1 - Prob. 58SRCh. 10.1 - Prob. 59SRCh. 10.1 - Prob. 60SRCh. 10.1 - Prob. 61SRCh. 10.1 - Prob. 62SRCh. 10.1 - Prob. 63SRCh. 10.1 - Prob. 64SCh. 10.1 - Prob. 65SCh. 10.1 - Prob. 66SCh. 10.2 - Prob. 1CYPCh. 10.2 - Prob. 2ACYPCh. 10.2 - Prob. 2BCYPCh. 10.2 - Prob. 3ACYPCh. 10.2 - Prob. 3BCYPCh. 10.2 - Prob. 4ACYPCh. 10.2 - Prob. 4BCYPCh. 10.2 - Prob. 5CYPCh. 10.2 - Prob. 1CYUCh. 10.2 - Prob. 2CYUCh. 10.2 - Prob. 3CYUCh. 10.2 - Prob. 4CYUCh. 10.2 - Prob. 5CYUCh. 10.2 - Prob. 6CYUCh. 10.2 - Prob. 7CYUCh. 10.2 - Prob. 8CYUCh. 10.2 - Prob. 9CYUCh. 10.2 - Prob. 10CYUCh. 10.2 - Prob. 11CYUCh. 10.2 - Prob. 12CYUCh. 10.2 - Prob. 13CYUCh. 10.2 - Prob. 14PPSCh. 10.2 - Prob. 15PPSCh. 10.2 - Prob. 16PPSCh. 10.2 - Prob. 17PPSCh. 10.2 - Prob. 18PPSCh. 10.2 - Prob. 19PPSCh. 10.2 - Prob. 20PPSCh. 10.2 - Prob. 21PPSCh. 10.2 - Prob. 22PPSCh. 10.2 - Prob. 23PPSCh. 10.2 - Prob. 24PPSCh. 10.2 - Prob. 25PPSCh. 10.2 - 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Prob. 6CYUCh. 10.3 - Prob. 7CYUCh. 10.3 - Prob. 8CYUCh. 10.3 - Prob. 9CYUCh. 10.3 - Prob. 10CYUCh. 10.3 - Prob. 11CYUCh. 10.3 - Prob. 12PPSCh. 10.3 - Prob. 13PPSCh. 10.3 - Prob. 14PPSCh. 10.3 - Prob. 15PPSCh. 10.3 - Prob. 16PPSCh. 10.3 - Prob. 17PPSCh. 10.3 - Prob. 18PPSCh. 10.3 - Prob. 19PPSCh. 10.3 - Prob. 20PPSCh. 10.3 - Prob. 21PPSCh. 10.3 - Prob. 22PPSCh. 10.3 - Prob. 23PPSCh. 10.3 - Prob. 24PPSCh. 10.3 - Prob. 25PPSCh. 10.3 - Prob. 26PPSCh. 10.3 - Prob. 27PPSCh. 10.3 - Prob. 28PPSCh. 10.3 - Prob. 29PPSCh. 10.3 - Prob. 30PPSCh. 10.3 - Prob. 31PPSCh. 10.3 - Prob. 32PPSCh. 10.3 - Prob. 33PPSCh. 10.3 - Prob. 34PPSCh. 10.3 - Prob. 35PPSCh. 10.3 - Prob. 36PPSCh. 10.3 - Prob. 37PPSCh. 10.3 - Prob. 38PPSCh. 10.3 - Prob. 39PPSCh. 10.3 - Prob. 40PPSCh. 10.3 - Prob. 41PPSCh. 10.3 - Prob. 42PPSCh. 10.3 - Prob. 43PPSCh. 10.3 - Prob. 44PPSCh. 10.3 - Prob. 45PPSCh. 10.3 - Prob. 46PPSCh. 10.3 - Prob. 47PPSCh. 10.3 - Prob. 48PPSCh. 10.3 - Prob. 49PPSCh. 10.3 - Prob. 50PPSCh. 10.3 - Prob. 51PPSCh. 10.3 - 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Prob. 8CYUCh. 10.4 - Prob. 9CYUCh. 10.4 - Prob. 10CYUCh. 10.4 - Prob. 11PPSCh. 10.4 - Prob. 12PPSCh. 10.4 - Prob. 13PPSCh. 10.4 - Prob. 14PPSCh. 10.4 - Prob. 15PPSCh. 10.4 - Prob. 16PPSCh. 10.4 - Prob. 17PPSCh. 10.4 - Prob. 18PPSCh. 10.4 - Prob. 19PPSCh. 10.4 - Prob. 20PPSCh. 10.4 - Prob. 21PPSCh. 10.4 - Prob. 22PPSCh. 10.4 - Prob. 23PPSCh. 10.4 - Prob. 24PPSCh. 10.4 - Prob. 25PPSCh. 10.4 - Prob. 26PPSCh. 10.4 - Prob. 27PPSCh. 10.4 - Prob. 28PPSCh. 10.4 - Prob. 29PPSCh. 10.4 - Prob. 30PPSCh. 10.4 - Prob. 31PPSCh. 10.4 - Prob. 32PPSCh. 10.4 - Prob. 33PPSCh. 10.4 - Prob. 34PPSCh. 10.4 - Prob. 35PPSCh. 10.4 - Prob. 36PPSCh. 10.4 - Prob. 37PPSCh. 10.4 - Prob. 38PPSCh. 10.4 - Prob. 39PPSCh. 10.4 - Prob. 40HPCh. 10.4 - Prob. 41HPCh. 10.4 - Prob. 42HPCh. 10.4 - Prob. 43HPCh. 10.4 - Prob. 44HPCh. 10.4 - Prob. 45HPCh. 10.4 - Prob. 46HPCh. 10.4 - Prob. 47STPCh. 10.4 - Prob. 48STPCh. 10.4 - Prob. 49STPCh. 10.4 - Prob. 50STPCh. 10.4 - Prob. 51SRCh. 10.4 - Prob. 52SRCh. 10.4 - Prob. 53SRCh. 10.4 - Prob. 54SRCh. 10.4 - Prob. 55SRCh. 10.4 - Prob. 56SRCh. 10.4 - Prob. 57SRCh. 10.4 - Prob. 58SRCh. 10.4 - Prob. 59SRCh. 10.4 - Prob. 60SRCh. 10.4 - Prob. 61SRCh. 10.4 - Prob. 62SRCh. 10.4 - Prob. 63SRCh. 10.4 - Prob. 64SRCh. 10.4 - Prob. 65SCh. 10.4 - Prob. 66SCh. 10.4 - Prob. 67SCh. 10.4 - Prob. 1MCQCh. 10.4 - Prob. 2MCQCh. 10.4 - Prob. 3MCQCh. 10.4 - Prob. 4MCQCh. 10.4 - Prob. 5MCQCh. 10.4 - Prob. 6MCQCh. 10.4 - Prob. 7MCQCh. 10.4 - Prob. 8MCQCh. 10.4 - Prob. 9MCQCh. 10.4 - Prob. 10MCQCh. 10.4 - Prob. 11MCQCh. 10.4 - Prob. 12MCQCh. 10.4 - Prob. 13MCQCh. 10.4 - Prob. 14MCQCh. 10.4 - Prob. 15MCQCh. 10.4 - Prob. 16MCQCh. 10.4 - Prob. 17MCQCh. 10.4 - Prob. 18MCQCh. 10.4 - Prob. 19MCQCh. 10.4 - Prob. 20MCQCh. 10.5 - Prob. 1CYPCh. 10.5 - Prob. 2CYPCh. 10.5 - Prob. 3CYPCh. 10.5 - Prob. 4CYPCh. 10.5 - Prob. 1CYUCh. 10.5 - Prob. 2CYUCh. 10.5 - Prob. 3CYUCh. 10.5 - Prob. 4CYUCh. 10.5 - Prob. 5CYUCh. 10.5 - Prob. 6CYUCh. 10.5 - Prob. 7CYUCh. 10.5 - Prob. 8CYUCh. 10.5 - Prob. 9CYUCh. 10.5 - Prob. 10PPSCh. 10.5 - Prob. 11PPSCh. 10.5 - Prob. 12PPSCh. 10.5 - Prob. 13PPSCh. 10.5 - Prob. 14PPSCh. 10.5 - Prob. 15PPSCh. 10.5 - Prob. 16PPSCh. 10.5 - Prob. 17PPSCh. 10.5 - Prob. 18PPSCh. 10.5 - Prob. 19PPSCh. 10.5 - Prob. 20PPSCh. 10.5 - Prob. 21PPSCh. 10.5 - Prob. 22PPSCh. 10.5 - Prob. 23PPSCh. 10.5 - Prob. 24PPSCh. 10.5 - Prob. 25PPSCh. 10.5 - Prob. 26PPSCh. 10.5 - Prob. 27PPSCh. 10.5 - Prob. 28PPSCh. 10.5 - Prob. 29PPSCh. 10.5 - Prob. 30PPSCh. 10.5 - Prob. 31PPSCh. 10.5 - Prob. 32PPSCh. 10.5 - Prob. 33PPSCh. 10.5 - Prob. 34PPSCh. 10.5 - Prob. 35PPSCh. 10.5 - Prob. 36PPSCh. 10.5 - Prob. 37PPSCh. 10.5 - Prob. 38PPSCh. 10.5 - Prob. 39PPSCh. 10.5 - Prob. 40PPSCh. 10.5 - Prob. 41PPSCh. 10.5 - Prob. 42PPSCh. 10.5 - Prob. 43PPSCh. 10.5 - Prob. 44HPCh. 10.5 - Prob. 45HPCh. 10.5 - Prob. 46HPCh. 10.5 - Prob. 47HPCh. 10.5 - Prob. 48HPCh. 10.5 - Prob. 49HPCh. 10.5 - Prob. 50STPCh. 10.5 - Prob. 51STPCh. 10.5 - Prob. 52STPCh. 10.5 - Prob. 53STPCh. 10.5 - Prob. 54SRCh. 10.5 - Prob. 55SRCh. 10.5 - Prob. 56SRCh. 10.5 - Prob. 57SRCh. 10.5 - Prob. 58SRCh. 10.5 - Prob. 59SRCh. 10.5 - Prob. 60SRCh. 10.5 - Prob. 61SRCh. 10.5 - Prob. 62SRCh. 10.5 - Prob. 63SRCh. 10.5 - Prob. 64SRCh. 10.5 - Prob. 65SRCh. 10.5 - Prob. 66SCh. 10.5 - Prob. 67SCh. 10.6 - Prob. 1CYPCh. 10.6 - Prob. 2ACYPCh. 10.6 - Prob. 2BCYPCh. 10.6 - Prob. 2CCYPCh. 10.6 - Prob. 1CYUCh. 10.6 - Prob. 2CYUCh. 10.6 - Prob. 3CYUCh. 10.6 - Prob. 4CYUCh. 10.6 - Prob. 5CYUCh. 10.6 - Prob. 6CYUCh. 10.6 - Prob. 7CYUCh. 10.6 - Prob. 8CYUCh. 10.6 - Prob. 9CYUCh. 10.6 - Prob. 10CYUCh. 10.6 - Prob. 11CYUCh. 10.6 - Prob. 12CYUCh. 10.6 - Prob. 13CYUCh. 10.6 - Prob. 14PPSCh. 10.6 - Prob. 15PPSCh. 10.6 - Prob. 16PPSCh. 10.6 - Prob. 17PPSCh. 10.6 - Prob. 18PPSCh. 10.6 - Prob. 19PPSCh. 10.6 - Prob. 20PPSCh. 10.6 - Prob. 21PPSCh. 10.6 - Prob. 22PPSCh. 10.6 - Prob. 23PPSCh. 10.6 - Prob. 24PPSCh. 10.6 - Prob. 25PPSCh. 10.6 - Prob. 26PPSCh. 10.6 - Prob. 27PPSCh. 10.6 - Prob. 28PPSCh. 10.6 - Prob. 29PPSCh. 10.6 - Prob. 30PPSCh. 10.6 - Prob. 31PPSCh. 10.6 - Prob. 32PPSCh. 10.6 - 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Prob. 61SGRCh. 10 - Prob. 62SGRCh. 10 - Prob. 63SGRCh. 10 - Prob. 64SGRCh. 10 - Prob. 65SGRCh. 10 - Prob. 66SGRCh. 10 - Prob. 67SGRCh. 10 - Prob. 68SGRCh. 10 - Prob. 69SGRCh. 10 - Prob. 70SGRCh. 10 - Prob. 71SGRCh. 10 - Prob. 72SGRCh. 10 - Prob. 73SGRCh. 10 - Prob. 74SGRCh. 10 - Prob. 1PTCh. 10 - Prob. 2PTCh. 10 - Prob. 3PTCh. 10 - Prob. 4PTCh. 10 - Prob. 5PTCh. 10 - Prob. 6PTCh. 10 - Prob. 7PTCh. 10 - Prob. 8PTCh. 10 - Prob. 9PTCh. 10 - Prob. 10PTCh. 10 - Prob. 11PTCh. 10 - Prob. 12PTCh. 10 - Prob. 13PTCh. 10 - Prob. 14PTCh. 10 - Prob. 15PTCh. 10 - Prob. 16PTCh. 10 - Prob. 17PTCh. 10 - Prob. 18PTCh. 10 - Prob. 19PTCh. 10 - Prob. 20PTCh. 10 - Prob. 21PTCh. 10 - Prob. 22PTCh. 10 - Prob. 23PTCh. 10 - Prob. 24PTCh. 10 - Prob. 25PTCh. 10 - Prob. 1ECh. 10 - Prob. 2ECh. 10 - Prob. 3ECh. 10 - Prob. 4ECh. 10 - Prob. 5ECh. 10 - Prob. 1STPCh. 10 - Prob. 2STPCh. 10 - Prob. 3STPCh. 10 - Prob. 4STPCh. 10 - Prob. 5STPCh. 10 - Prob. 6STPCh. 10 - Prob. 7STPCh. 10 - Prob. 8STPCh. 10 - Prob. 9STPCh. 10 - Prob. 10STPCh. 10 - Prob. 11STPCh. 10 - Prob. 12STPCh. 10 - Prob. 13STPCh. 10 - Prob. 14STPCh. 10 - Prob. 15STP

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